Search a number
-
+
12220122120020 = 2252961345396329
BaseRepresentation
bin1011000111010011100000…
…0010011011111101010100
31121021020021022200101201022
42301310320002123331110
53100203302230320040
641553502511020312
72400606006114323
oct261647002337524
947236238611638
1012220122120020
1139915853a4661
12145441220a698
136a84777a3549
143036582940ba
15162d17bd46b5
hexb1d3809bf54

12220122120020 has 48 divisors (see below), whose sum is σ = 26982361299600. Its totient is φ = 4642126648320.

The previous prime is 12220122119987. The next prime is 12220122120029. The reversal of 12220122120020 is 2002122102221.

It is a happy number.

12220122120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3933542355856 + 8286579764164 = 1983316^2 + 2878642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220122120029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172662785 + ... + 172733544.

It is an arithmetic number, because the mean of its divisors is an integer number (562132527075).

Almost surely, 212220122120020 is an apocalyptic number.

12220122120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220122120020 is an abundant number, since it is smaller than the sum of its proper divisors (14762239179580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220122120020 is a wasteful number, since it uses less digits than its factorization.

12220122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345396428 (or 345396426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220122120020 its reverse (2002122102221), we get a palindrome (14222244222241).

The spelling of 12220122120020 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 7076 8845 17690 35380 345396329 690792658 1381585316 1726981645 3453963290 6907926580 10016493541 20032987082 21069176069 40065974164 42138352138 50082467705 84276704276 100164935410 105345880345 200329870820 210691760690 421383521380 611006106001 1222012212002 2444024424004 3055030530005 6110061060010 12220122120020